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Finding the Third Proportional to 40,381 and 61,982

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Solution

The third proportional to 40,381 and 61,982 is: 95,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,381 : 61,982 = 61,982 : x
  2. Step 2: Convert to fraction form
    40,381/61,982 = 61,982/x
  3. Step 3: Cross multiply
    40,381x = 61,982 × 61,982
  4. Step 4: Simplify right side
    40,381x = 3,841,768,324
  5. Step 5: Solve for x
    x = 3,841,768,324/40,381
  6. Step 6: Final answer
    x = 95,138.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.